Pith Number

pith:XJ6BQGAS

pith:2004:XJ6BQGASTUCEFPH4OQH44IDXCW

not attested not anchored not stored refs pending

Upper limit on the number of bound states of the spinless Salpeter equation

Fabian Brau

arxiv:math-ph/0401022 v1 · 2004-01-12 · math-ph · math.MP · math.SP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XJ6BQGASTUCEFPH4OQH44IDXCW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:38:33.587234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba7c1818129d0442bcfc740fce20771591b30957dd4349b024584a328128f3f9

Aliases

arxiv: math-ph/0401022 · arxiv_version: math-ph/0401022v1 · doi: 10.48550/arxiv.math-ph/0401022 · pith_short_12: XJ6BQGASTUCE · pith_short_16: XJ6BQGASTUCEFPH4 · pith_short_8: XJ6BQGAS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XJ6BQGASTUCEFPH4OQH44IDXCW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ba7c1818129d0442bcfc740fce20771591b30957dd4349b024584a328128f3f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02493dad1a4b61546c62ba4fd366c16e9a4543f400443b9055a78c1c03c46124",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-01-12T11:36:15Z",
    "title_canon_sha256": "8530269706b9a6b36513c46b426ca77b740f328f27b83b3fd6d04d4329ad8d7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0401022",
    "kind": "arxiv",
    "version": 1
  }
}